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Brian McLogan
What is the definition of a parabola for CONIC sections
Learn all about parabolas in conic sections. We will discover the basic definitions such as the vertex, focus, directrix, and axis of symmetry. We will also take a look a basic processes such as graphing, writing the equation and...
Brian McLogan
Master Classifying Conic Sections - Parabola, Circle, Ellipse, Hyperbola
Master Classifying Conic Sections - Parabola, Circle, Ellipse, Hyperbola
Brian McLogan
How to determine the focus, directrix and vertex conic sections
Learn how to graph a horizontal parabola. A parabola is the shape of the graph of a quadratic equation. A parabola is said to be horizontal if it opens to the left or opens to the right. A horizontal parabola results from a quadratic...
Brian McLogan
Classify conic section
Learn how to classify a comic section in general form by using A and B. We will classify them as a Parabola, Circle, Ellipse and Hyperbola
Brian McLogan
How to graph a parabola when p is a fraction
Learn how to graph a horizontal parabola. A parabola is the shape of the graph of a quadratic equation. A parabola is said to be horizontal if it opens to the left or opens to the right. A horizontal parabola results from a quadratic...
Brian McLogan
Master How to determine the vertices, co vertices, foci, center of an ellipse
Welcome, ladies and gentlemen. So what I'd like to do is show you how to determine the vertices, the center, the co-vertices, as well as the foci of an ellipse.
So basically, in the last video, we did...
So basically, in the last video, we did...
Brian McLogan
How to identify the parts of a hyperbola when the center is not at the origin
Learn how to graph hyperbolas. To graph a hyperbola from the equation, we first express the equation in the standard form, that is in the form: (x - h)^2 / a^2 - (y - k)^2 / b^2 = 1 for horizontal hyperbola or (y - k)^2 / a^2 - (x - h)^2...
Brian McLogan
Write the equation of a parabola given vertex and directrix
Learn how to write the equation of a parabola given the vertex and the directrix. A parabola is the shape of the graph of a quadratic equation. A parabola can open up or down (if x is squared) or open left or right (if y is squared)....
Brian McLogan
Given a point and vertex learn to write the equation of the parabola
👉 Learn how to write the equation of a parabola given three points. The equation of a parabola is of the form f(x) = ax^2 + bx + c, where a, b and c are constants. Since, the equation of a parabola has 3 constants, three equations and...
Brian McLogan
Master How to determine the vertices, foci and asymptotes of a hyperbola center at origin
Master How to determine the vertices, foci and asymptotes of a hyperbola center at origin
Brian McLogan
Graph an ellipse with the center not at the origin
Learn how to graph horizontal ellipse not centered at the origin. A horizontal ellipse is an ellipse which major axis is horizontal. To graph a horizontal ellipse, we first identify some of the properties of the ellipse including the...
Curated Video
A 16 Year Old Discovered This AMAZING Geometry Hidden Pattern. Pascal's Theorem
Pascal discovered this amazing geometry result when he was only 16. The book "The Art of the Infinite" by Robert Kaplan and Ellen Kaplan has a wonderful introduction to projective geometry and a proof this this theorem. Proof of Pascal's...
Brian McLogan
Master Writing the equation of a hyperbola when the center is not at the origin
Master Writing the equation of a hyperbola when the center is not at the origin
Brian McLogan
Master Writing the equation of a hyperbola given the center is at the origin
Master Writing the equation of a hyperbola given the center is at the origin
Brian McLogan
Graph an ellipse by first completing the square
Learn how to graph horizontal ellipse which equation is in general form. A horizontal ellipse is an ellipse which major axis is horizontal. When the equation of an ellipse is written in the general form, we first rewrite it in standard...
Khan Academy
Introduction to Conic Sections, Conic Sections, Algebra II
Here, parabolas, circles, ellipses, and hyperbolas are introduced by showing a general graph of each. By showing the intersection of a plane and a cone to create the different conic sections, one can see how these curves are related.
Khan Academy
Identifying Circles and Parabolas from Equations, Conic Sections, Algebra II
This is the last of three well-done videos on identifying and graphing conic sections from an equation. Here, Sal shows how to graph a circle not centered at the origin and a parabola that opens downward.
Khan Academy
Foci of a Hyperbola, Conic Sections, Algebra II
Sal defines a hyperbola's vertex and foci in this video and shows how to locate both. By comparing the hyperbola to an ellipse throughout the video, the listener sees the similarities between these two conic sections. This approach makes...
Khan Academy
Proof: Hyperbola Foci, Conic Sections, Algebra II
In a video that is quite involved, algebraically, Sal proves that the distance of the foci from the center of a hyperbola is the square root of a2+b2. Since the algebra shown here is challenging, this video might be appropriate as an...
Khan Academy
Foci of an Ellipse, Conic Sections, Algebra II
The foci of an ellipse are explored in this video. First, foci are shown as the two points on the central axis such that the sum of the distance from a point on the ellipse and the foci points is the same as the distance from any point...
Khan Academy
Foci of an Ellipse, Conic Sections, Algebra II
The foci of an ellipse are explored in this video. First, foci are shown as the two points on the central axis such that the sum of the distance from a point on the ellipse and the foci points is the same as the distance from any point...
Curated OER
Conic Sections: Hyperbolas 2
Here is an example in this video of graphing a hyperbola centered at the origin. First, Sal shows solving for the equations of the asymptotes and then shows how to determine the direction of the hyperbola. He takes the approach of not...
Curated OER
Conic Sections: Hyperbolas 3
Continuing with the study of graphing hyperbolas, Sal shows an example of graphing a parabola that is centered at a point off the origin. By looking at the equation, first without shifting it, he helps listeners develop an intuitive...
Curated OER
Compound Interest and e (Part 2)
Sal continues to look at changing the length of compounding time, from daily to hourly compounding interest. Now he is able to show that compounding 100% annual interest converges on the number 2.71É or e as the number of compounding...